Mathematical Aptitude Test for Competitive Exams

1. A sum of Rs.817/- is divided among A, B and C such that A receives 25% more than B and B receives 25% less than C. What is the A’s share in the amount?
1. Rs.228/-
2. Rs.247/-
3. Rs.285/-
4. Rs.304/-
5. None of these
Ans. 3

2. Ms. Sujata invests 7% i.e. Rs.2170/- of her monthly salary in mutual funds. Later she invests 18% of her monthly salary in recurring deposits also, she invests 6% of her salary on NSC’s. What is the total annual amount invested by Sujata?
1. Rs.1,25,320/-
2. Rs.1,13,520/-
3. Rs.1,35,120/-
4. Rs.1,15,320/-
5. None of these
Ans. 4

3. A, B, C and D are four consecutive even numbers respectively and their average is 65. What is the product of A and D?
1. 3968
2. 4216
3. 4092
4. 4352
5. None of these
Ans. 2

4. The sum of five numbers is 555. The average of first two numbers is 75 and the third number is 115. What is the average of last two numbers?
1. 145
2. 290
3. 265
4. 150
5. None of these
Ans. 1

5. A car covers the first 35 Km of its journey in 45 minutes and covers the remaining 69 Km in 75 minutes. What is the average speed of the car?
1. 42 Kms/hr.
2. 50 Kms/hr.
3. 52 Kms/hr.
4. 60 Kms/hr/
5. None of these
Ans. 3

6. In how many different ways can the letters of the word ‘PRIDE’ be arranged?
1. 60
2. 120
3. 15
4. 360
5. None of these
Ans. 2

7. The ages of Samir and Tanuj are in the ratio of 8:15 years respectively. After 9 years the ratio of the ages will be 11:18. What is the difference in years between their ages?
1. 24 years
2. 20 years
3. 33 years
4. 21 years
Ans. 4

Directions ( Qs 8 to 10) :
What should come in place of question mark (?) in the following questions?
8. -84 X 29 + 365 = ?
1. 2436
2. 2801
3. -2801
4. -2071
5. None of these
Ans. 4 ( -84 X 29 + 365 = -2071 )

9. (9% of 386) X (6.5% of 144) = ?
1. 340.1664
2. 325.1664
3. 333.3333
4. 328.0065
5. None of these
Ans. 2

10. (43% of 2750) – (38% of 2990) = ?
1. 49.3
2. 44.7
3. 43.6
4. 46.3
5. None of these
Ans. 4

Directions (Qs. 11 to 21) : What should come in place of question mark (?) in the following number series?
11. 13 14 30 93 376 1885 ?
1. 10818
2. 10316
3. 11316
4. 11318
5. None of these
Ans. 3

12. 400 240 144 86.4 51.84 31.104 ?
1. 19.2466
2. 17.2244
3. 16.8824
4. 18.6624
5. None of these
Ans. 4

13. 4 6 9 13.5 20.25 30.375 ?
1. 40.25
2. 45.5625
3. 42.7525
4. 48.5625
5. None of these
Ans. 2

14. 9 4.5 4.5 6.75 13.5 33.75 ?
1. 101.25
2. 103.75
3. 99.75
4. 105.50
5. None of these
Ans. 1

15. 705 728 774 843 935 1050 ?
1. 1190
2. 1180
3. 1185
4. 1187
5. None of these
Ans. 5

16. Two motorists start at the same time, one from Ambala to Delhi & other Delhi to Ambala. If they arrive at their destinations in 2 hours & 8 hours respectively after passing each other, how much faster is one driving than other?
1. Four times as fast as the other
2. Twice as fast as the other
3. Thrice as fast as the other
4. None of these
5. Insufficient data
Ans. 2

17. The speed of a boat in still water is 10 Kms/hr. If it can travel 26 Km downstream and 14 Km upstream in the same time, find the speed of the stream?
1. 5 Km/hr
2. 4 Km/hr
3. 2 Km/hr
4. 3 Km/hr
5. None of these
Ans. 4

18. Five times A’s income added to B’s income is more than Rs. 51. Three times A’s income is Rs. 21 more than B’s income. Find out range of value of a & b if they represent A’s income & B’s income respectively.
1. a>9, b<6>9, b=6
3. a>9, b>6
4. a>9, but we can put no bounds on b
5. None of these
Ans. 3

19. Mangesh speaks truth in 75% of the cases, while Hari speaks truth in 80% of the cases. The percentage of cases in which they contradict each other in narrating the same incident, is likely to be :
1. 35
2. 15
3. 20
4. 53
5. None of these
Ans. 1

20. Ten percent of the inhabitants of a village died of cholera as a result panic set in, during which 25% of the remaining inhabitants left the village. If the population was then reduced to 31,941, what was the original population of the village?
1. 47,320
2. 49,140
3. 91,260
4. 98,280
5. None of these
Ans. 1

21. In a management entrance test there are 200 questions with four alternative answers each. A student marks first alternative as the answer to all the questions. What is his probable net score if each right answer fetches one mark and each wrong answer fetches -1/4 marks?
1. 0
2. 10
3. 12.5
4. 11.5
5. None of these
Ans. 3